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3 years ago

Please answer this question now in two minutes

Mathematics

1 answer:

kvv77 [185]3 years ago

8 0

Answer:

m∠C = 102°

Step-by-step explanation:

This diagram is a Quadrilateral inscribed in a circle

The first step is to determine what m∠B

The sum of opposite angles in an inscribed quadrilateral is equal to 180°

m∠D + m∠B = 180°

m∠B = 180° - m∠D

m∠B = 180° - 80°

m∠B = 100°

Second step is we proceed to determine the exterior angles of the circle

m∠ADC = 2 × m∠B

m∠ADC = 2 × 100°

m∠ADC = 200°

m∠ADC = m∠CD + m∠AD

m∠AD = m∠ADC - m∠CD

m∠AD = 200° - 116°

m∠AD = 84°

The third step is to determine m∠BAD

m∠BAD = m∠AD + m∠AB

m∠BAD = 84° + 120°

m∠BAD = 204°

The final step Is to determine what m∠C is

It is important to note that:

m∠BAD is Opposite m∠C

Hence

m∠C = 1/2 × m∠BAD

m∠C = 1/2 × 204

m∠C = 102°

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Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.

Ostrovityanka [42]

Answer:

(a) and (f)

Step-by-step explanation:

Given

$y = 5x + 12$

See attachment for table and options

First, we calculate the slope of the table

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Using:

$(x_1,y_1) = (2,29)$

$(x_1,y_1) = (4,53)\\$

So, we have:

$m = \frac{53- 29}{4 - 2}$

$m = \frac{24}{2}$

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The equation is then calculated using:

$y = m(x -x_1) + y_1$

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So, we have:

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An equation is represented as:

$y = mx + b$

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m = slope or rate of change

b = y intercept

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Rate of change = 12

y intercept = 5

In conclusion:

(a) $y = 12x+5$ has the greater rate of change:

and

(f) $y = 5x + 12$ has the greater y intercept

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